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Finding the Fourth Proportional to 313,634.60, 470,495.10 and 136,136.60

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Solution

The fourth proportional to 313,634.60, 470,495.10 and 136,136.60 is: 204,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,634.60 : 470,495.10 = 136,136.60 : x
  2. Step 2: Convert to fraction form
    313,634.60/470,495.10 = 136,136.60/x
  3. Step 3: Cross multiply
    313,634.60x = 470,495.10 × 136,136.60
  4. Step 4: Simplify right side
    313,634.60x = 64,051,603,230.66
  5. Step 5: Solve for x
    x = 64,051,603,230.66/313,634.60
  6. Step 6: Final answer
    x = 204,223.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.